Least Common Multiple of 39239 and 39245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39239 and 39245 the smallest integer that is 1539934555 that is divisible by both numbers.
Least Common Multiple (LCM) of 39239 and 39245 is 1539934555.
LCM(39239,39245) = 1539934555
LCM of 39239 and 39245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39239 and 39245 by Prime method
- Least Common Multiple of 39239 and 39245 with GCF Formula
LCM of 39239 and 39245 is 1539934555
Least common multiple can be found by multiplying the highest exponent prime factors of 39239 and 39245. First we will calculate the prime factors of 39239 and 39245.
Prime Factorization of 39239
| 39239 | 39239 |
| 1 |
Prime factors of 39239 are 39239. Prime factorization of 39239 in exponential form is:
39239 = 392391
Prime Factorization of 39245
| 5 | 39245 |
| 47 | 7849 |
| 167 | 167 |
| 1 |
Prime factors of 39245 are 5, 47,167. Prime factorization of 39245 in exponential form is:
39245 = 51×471×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 39239 and 39245.
LCM(39239,39245) = 51×471×1671×392391
LCM(39239,39245) = 1539934555
Factors of 39239
List of positive integer factors of 39239 that divides 39239 without a remainder.
1, 39239
Factors of 39245
List of positive integer factors of 39245 that divides 39245 without a remainder.
1, 5, 47, 167, 235, 835, 7849, 39245
Least Common Multiple of 39239 and 39245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39239 and 39245, than apply into the LCM equation.
GCF(39239,39245) = 1
LCM(39239,39245) = ( 39239 × 39245) / 1
LCM(39239,39245) = 1539934555 / 1
LCM(39239,39245) = 1539934555
Properties of LCM 39239 and 39245
(i) The LCM of 39245 and 39239 is associative
LCM of 39239 and 39245 = LCM of 39245 and 39239
Related Least Common Multiples of 39239
Related Least Common Multiples of 39245
Frequently Asked Questions on LCM of 39239 and 39245
1. What is the LCM of 39239 and 39245?
Answer: LCM of 39239 and 39245 is 1539934555.
2. What are the Factors of 39239?
Answer: Factors of 39239 are 1, 39239. There are 2 integers that are factors of 39239. The greatest factor of 39239 is 39239.
3. What are the Factors of 39245?
Answer: Factors of 39245 are 1, 5, 47, 167, 235, 835, 7849, 39245. There are 8 integers that are factors of 39245. The greatest factor of 39245 is 39245.
4. How to Find the LCM of 39239 and 39245?
Answer:
Least Common Multiple of 39239 and 39245 = 1539934555
Step 1: Find the prime factorization of 39239
39239 = 39239
Step 2: Find the prime factorization of 39245
39245 = 5 x 47 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1539934555 = 5 x 47 x 167 x 39239
Step 4: Therefore, the least common multiple of 39239 and 39245 is 1539934555.